SOLUTION: Write an equation describing the relationship of the given variables. y varies jointly as the square of x, the cube of z, and the square root of w. When x = 4, z = 2, and w = 9, t

Algebra ->  Equations -> SOLUTION: Write an equation describing the relationship of the given variables. y varies jointly as the square of x, the cube of z, and the square root of w. When x = 4, z = 2, and w = 9, t      Log On


   

Question 1128290: Write an equation describing the relationship of the given variables.
y varies jointly as the square of x, the cube of z, and the square root of w. When x = 4, z = 2, and w = 9, then y = 384.
*Following another’s advice of subsuiting each Constant into the corresponding variable place, my answers are still incorrect. My answer so far have been y= x^2• z^3• sqrt(w). y= 4^2• 2^3• sqrt (9).
Y= 384/ 4^2•2^3• sqrt(9). Can someone explain what I am doing incorrect in setting up the above equation.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

The fact that y varies jointly as x%5E2 and the +z%5E3 and sqrt(w) means that
y+=+k+%2Ax%5E2%2Az%5E3%2Asqrt%28w%29 for some constant k
When x+=+4, z+=+2, and w+=+9, then y+=+384
384+=+k+%2A4%5E2%2A2%5E3%2Asqrt%289%29
384+=+k+%2A16%2A8%2A3
384+=+k+%2A384
k+=1
so, highlight%28y+=+x%5E2%2Az%5E3%2Asqrt%28w%29%29 describing the relationship of the given variables